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Step 1:I'll solve this problem by explaining the rule for reflecting over the y-axis:
Step 2:: Understand the Basic Reflection Rule
When reflecting a point or graph over the y-axis, the fundamental rule is to change the sign of the x-coordinate while keeping the y-coordinate the same.
Step 3:: Algebraic Representation
Mathematically, if a point has coordinates $$(x, y)$$, its reflection over the y-axis will be $$(-x, y)$$.
Step 4:: Examples to Illustrate the Rule
- Point $$(0, 7)$$ remains at $$(0, 7)$$ (points on the y-axis do not change)
- Point (- 2, 5) reflects to (2, 5)
Step 5:: Graphical Interpretation
- The y-axis acts as a mirror line - Distances from the y-axis remain the same - Only the x-coordinate changes sign
Final Answer
To reflect a point over the y-axis, change the sign of the x-coordinate while keeping the y-coordinate unchanged: (x, y) \rightarrow (-x, y).
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